Question
a metal block of length 4cm,breadth3cm and height2.5cm weighs 500g.what is the mass of a block of length5cm,breadth4cm,and height3cm made of same metal
Answers
Babul
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Bosnian
Volume of a metal block of length 4 cm, breadth 3 cm and height 2.5 cm
V = L ∙ B ∙ H
V = 4 ∙ 3 ∙ 2.5 = 30 cm³
mass = 500 g
Density :
ρ = m / V = 500 / 30 = 10 ∙ 50 / 10 ∙ 3 = 50 / 3 ( g / cm³ )
Volumea block of length 5cm , breadth 4c m,a nd height 3 cm:
V1 = 5 ∙ 4 ∙ 3 = 60 cm³
m1 = V1 ∙ ρ = 60 ∙ 50 / 3 = 3 ∙ 20 ∙ 50 / 3 = 20 ∙ 50 = 1000 g
OR
V1 / V = 60 cm³ / 30 cm³ = 2
Mass is directly proportional to the volume.
A body with double volume made of the same material has a double mass.
m1 = 2 ∙ m = 2 ∙ 500 = 1000 g
V = L ∙ B ∙ H
V = 4 ∙ 3 ∙ 2.5 = 30 cm³
mass = 500 g
Density :
ρ = m / V = 500 / 30 = 10 ∙ 50 / 10 ∙ 3 = 50 / 3 ( g / cm³ )
Volumea block of length 5cm , breadth 4c m,a nd height 3 cm:
V1 = 5 ∙ 4 ∙ 3 = 60 cm³
m1 = V1 ∙ ρ = 60 ∙ 50 / 3 = 3 ∙ 20 ∙ 50 / 3 = 20 ∙ 50 = 1000 g
OR
V1 / V = 60 cm³ / 30 cm³ = 2
Mass is directly proportional to the volume.
A body with double volume made of the same material has a double mass.
m1 = 2 ∙ m = 2 ∙ 500 = 1000 g